Evaluate I = √ (sin x + 5y) dx + (4x + y) dy for the nonclosed path ABCD in the figure. I = D A B 126+275/2+124 A = (0,0), B = (5,5), C = (5,10), D = (0,15)

Q: Find the cross product x where = 71-7j -4k and 7 = (-4,-3, 4). úxv=

A:

Q: 7x + 3y + 4z = 5, and 21x + 9y +12z = 13. %3D Neither

A: Given:7x+3y+4z=521x+9y+12z=13

Q: 1. The line y - 6 = 2(x + 4) passes through which point? OA (-4,-6) O B. (4, −6) Oc( 4, 6) OD (2,6)

A:

Q: Find an equation of the line through (-2, 5, 3) that is perpendicular to both u = (1, 1, 2) and the…

A:

Q: aluate √y² ds where C is the line segment from (2,1,-4) to (4, 1, 5). C

A:

Q: If P = (4,0) and Q = (3, 5), find the components of PQ PQ

A: Solution:-

Q: If P = (-1,4) and Q = (4, –1), find the coordinates of PQ PQ =

A:

Q: Draw a picture of Cay({2, 5}:Z8).

A: Given,            Cay2, 5 : Z8.